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Finding the Third Proportional to 831.94 and 1,749.66

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Solution

The third proportional to 831.94 and 1,749.66 is: 3,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.94 : 1,749.66 = 1,749.66 : x
  2. Step 2: Convert to fraction form
    831.94/1,749.66 = 1,749.66/x
  3. Step 3: Cross multiply
    831.94x = 1,749.66 × 1,749.66
  4. Step 4: Simplify right side
    831.94x = 3,061,296.99
  5. Step 5: Solve for x
    x = 3,061,296.99/831.94
  6. Step 6: Final answer
    x = 3,679.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.